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Finding the Fourth Proportional to 381.87, 571.62 and 326.52

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Solution

The fourth proportional to 381.87, 571.62 and 326.52 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 571.62 = 326.52 : x
  2. Step 2: Convert to fraction form
    381.87/571.62 = 326.52/x
  3. Step 3: Cross multiply
    381.87x = 571.62 × 326.52
  4. Step 4: Simplify right side
    381.87x = 186,645.36
  5. Step 5: Solve for x
    x = 186,645.36/381.87
  6. Step 6: Final answer
    x = 488.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.